Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 6 6 7 7 7 8 8 9 8 8 7 8 8 9 8 7 8 7 7 8 9 9 9 9 9 9 10 10 10 11 11 10 9 9 8 9 8 8 7 7 8 7 8 8 8 8 8 8 9 9 8 7 6 7 8 8 8 8 9 9 9 9 9 8 6 6 7 8 8 8 8 8 9 9 9 nan
nan 7 7 6 5 5 4 5 6 7 8 8 8 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 12 12 11 10 9 8 8 9 9 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 9 8 8 9 9 9 9 9 9 8 7 7 7 7 8 8 8 9 10 10 9 nan
nan 7 7 7 8 6 3 3 6 7 8 8 8 7 8 9 8 8 9 9 10 10 10 9 9 8 7 7 8 9 9 10 11 13 13 12 11 10 9 8 8 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 nan
nan 9 8 8 8 7 6 5 6 9 9 9 9 9 8 9 9 9 9 9 10 11 10 9 8 7 7 6 7 8 10 11 13 15 13 12 10 9 8 8 8 8 8 8 8 8 9 8 8 9 9 9 8 7 7 7 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 nan
nan 9 9 9 9 7 6 6 7 9 10 10 10 9 9 9 8 8 9 10 9 10 9 8 8 7 6 6 6 8 10 11 14 15 13 11 9 9 9 8 7 6 7 7 8 8 8 8 8 9 9 9 10 9 8 7 8 8 9 8 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 nan
nan 8 9 9 9 8 7 5 7 10 10 10 10 9 9 9 8 7 8 10 10 9 8 8 8 7 7 7 7 7 9 11 13 13 12 10 10 9 9 8 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 8 7 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 9 9 9 9 9 8 6 7 9 10 10 10 10 10 10 9 8 8 9 10 9 8 8 7 7 7 7 8 8 9 10 11 11 11 10 10 9 8 8 7 8 7 7 8 8 8 8 8 8 9 10 10 9 8 7 8 8 8 10 10 10 10 10 9 8 9 8 8 9 8 8 8 8 8 8 8 7 7 6 nan
nan 11 10 10 10 10 9 8 8 9 9 9 9 10 11 11 10 10 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 10 10 9 8 8 8 7 8 8 8 8 9 8 8 8 8 7 6 nan
nan 11 11 10 10 11 10 9 9 9 9 9 10 11 11 11 11 12 12 10 9 9 10 9 9 8 8 10 10 10 9 8 10 11 11 10 9 9 8 9 9 9 9 9 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 nan
nan 11 10 9 10 10 10 10 9 8 8 8 9 11 11 10 10 12 12 12 11 9 9 9 10 11 11 11 11 10 9 8 9 10 10 9 9 9 8 8 8 9 9 9 9 8 9 9 9 8 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 9 9 9 9 9 9 8 8 8 8 8 9 8 8 nan
nan 10 9 8 8 9 10 9 8 8 8 9 10 10 10 10 10 11 12 13 11 10 9 10 12 14 12 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 8 9 9 9 8 8 7 8 8 8 7 7 7 6 6 7 7 8 8 9 10 10 9 8 8 9 9 8 8 8 8 9 9 9 9 nan
nan 9 9 8 8 9 9 9 8 8 8 8 10 10 11 11 11 11 12 11 10 9 10 11 13 13 12 10 9 8 9 8 8 8 8 7 8 8 8 8 7 7 7 8 8 10 10 10 10 9 8 8 8 8 7 7 7 7 7 6 7 8 9 9 10 10 9 9 8 7 8 8 8 8 7 7 8 9 10 10 nan
nan 10 9 9 9 10 10 9 8 8 8 8 9 11 11 11 12 11 9 9 10 10 10 10 10 10 10 11 10 9 9 8 8 8 7 7 8 8 8 8 7 7 6 7 8 10 11 11 10 10 8 7 7 7 7 7 7 8 7 6 7 9 10 10 10 9 9 9 8 7 8 9 9 8 7 7 7 8 9 10 nan
nan 11 11 11 10 10 11 9 7 7 7 9 10 10 12 14 13 10 7 8 12 12 10 9 8 9 10 11 11 11 9 8 8 8 8 8 9 8 7 7 7 8 7 7 8 10 11 11 10 9 9 7 6 7 7 8 8 7 7 6 6 7 8 10 9 8 8 9 8 8 8 9 9 9 8 8 7 7 8 9 nan
nan 11 11 12 12 11 11 10 8 7 7 8 9 10 12 14 12 8 7 11 14 14 12 9 9 9 9 9 10 12 11 10 9 8 8 9 9 8 7 6 7 8 8 8 9 10 11 10 10 9 8 7 7 7 7 8 8 7 7 7 6 5 6 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 nan
nan 9 10 11 12 12 12 12 11 9 8 8 9 10 11 12 9 6 7 12 14 12 10 9 8 7 7 6 8 11 12 13 12 10 9 8 8 8 8 8 7 8 8 9 9 10 11 10 9 8 9 9 8 8 8 7 7 8 8 8 7 6 6 7 8 8 7 8 9 9 9 10 9 9 9 10 10 10 9 9 nan
nan 9 9 10 12 13 13 13 13 12 11 10 11 11 11 8 5 4 8 11 9 8 7 6 6 6 6 6 6 8 10 11 12 11 9 8 6 6 8 8 7 7 8 9 10 10 11 10 8 8 9 9 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 nan
nan 9 9 11 11 12 11 11 12 14 15 15 14 12 9 6 4 7 10 8 6 6 4 3 3 4 5 6 6 7 8 8 9 9 9 8 6 4 6 6 7 7 7 9 11 12 11 9 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 9 11 11 9 10 11 11 11 14 17 16 12 8 6 6 7 7 5 4 5 4 2 2 3 5 6 6 7 7 7 7 8 7 6 5 5 6 6 7 7 7 10 12 12 10 9 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 10 11 10 10 9 10 9 9 9 nan
nan 7 7 8 8 7 8 11 11 10 12 13 13 10 7 5 4 4 4 4 4 5 5 5 5 5 6 7 6 6 6 5 4 4 4 5 6 7 8 8 8 7 9 12 13 13 11 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 9 nan
nan 8 7 7 6 5 6 8 10 11 12 12 11 8 5 4 4 5 5 4 4 4 4 8 10 8 7 7 6 5 5 4 2 2 2 4 7 9 10 11 10 10 10 12 13 13 12 10 9 8 9 9 8 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 10 9 9 8 8 8 9 nan
nan 9 9 8 7 7 6 8 10 13 14 13 10 7 5 4 5 6 6 5 4 4 5 9 12 9 8 7 5 3 3 4 3 2 2 4 8 10 10 11 11 11 10 11 12 13 12 12 10 9 9 9 8 8 7 8 8 7 7 7 7 6 7 7 7 7 8 8 9 10 10 10 9 9 9 9 8 7 7 8 nan
nan 11 10 10 10 10 11 12 14 14 13 11 9 7 5 4 5 7 7 6 6 5 6 8 10 10 8 6 4 3 4 5 5 4 3 3 8 11 10 10 11 11 10 10 10 12 13 12 11 10 9 8 8 7 7 8 8 8 8 8 7 6 5 6 7 8 9 9 9 10 11 11 10 9 9 9 8 8 8 7 nan
nan 12 13 13 13 14 14 15 15 14 12 11 8 7 5 4 4 7 10 10 8 7 7 7 8 9 8 6 5 4 4 6 7 7 6 5 8 11 11 10 10 10 9 9 10 11 12 11 11 10 9 9 8 6 7 8 8 9 10 9 9 8 7 7 8 9 9 10 9 10 11 12 11 9 9 9 8 8 8 8 nan
nan 15 16 16 17 17 16 15 14 13 12 11 9 6 6 5 4 7 10 11 8 6 6 8 9 8 7 6 6 6 6 7 7 7 8 8 9 11 11 11 9 9 9 8 9 10 11 11 10 10 10 9 8 7 7 6 7 8 9 10 10 10 9 9 8 9 10 10 10 10 10 11 11 10 9 8 8 8 8 7 nan
nan 17 18 18 19 17 15 13 12 12 11 10 9 7 6 6 5 5 8 10 8 7 6 7 8 7 7 7 7 7 7 7 8 8 10 10 9 11 12 12 11 10 10 9 9 9 11 11 10 10 10 9 9 8 7 7 7 6 7 9 10 10 10 9 9 9 10 10 11 10 9 9 10 10 9 8 8 8 8 8 nan
nan 16 17 17 17 16 13 11 11 11 10 8 8 7 6 5 4 4 8 10 9 8 7 6 5 5 6 7 9 10 8 7 8 9 11 12 12 12 12 12 11 11 11 10 9 9 10 12 10 9 9 10 10 9 8 8 8 8 6 7 8 9 10 10 10 9 9 9 10 11 10 9 10 10 9 8 8 8 8 8 nan
nan 14 14 14 14 13 12 11 11 10 9 7 5 6 6 6 5 6 8 10 8 7 6 5 5 5 4 6 9 11 10 9 8 8 10 11 11 11 11 11 11 10 10 10 10 9 9 11 9 9 10 11 12 11 10 9 10 10 9 7 7 8 9 11 12 11 11 10 11 12 12 11 11 10 10 9 7 7 7 8 nan
nan 12 11 12 12 12 10 9 9 10 9 6 5 6 7 8 8 8 8 7 7 6 5 5 6 6 6 6 7 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 9 9 10 12 13 13 12 10 9 10 11 11 10 7 8 9 10 11 12 13 13 12 12 12 11 11 11 10 9 8 7 7 7 nan
nan 11 10 10 11 10 9 8 9 9 8 7 6 7 8 8 8 8 7 6 5 5 5 5 6 7 6 6 5 7 9 9 8 6 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 10 14 16 13 11 10 8 8 10 11 11 9 9 9 8 9 11 13 13 12 12 11 10 10 10 10 9 8 8 8 8 nan
nan 9 9 9 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 5 3 4 5 6 6 5 5 4 5 7 7 7 6 6 6 7 7 8 8 8 8 7 6 6 7 7 8 11 17 18 13 11 10 9 8 9 10 10 10 9 9 8 8 9 11 13 12 11 11 10 10 9 9 8 8 8 8 8 nan
nan 8 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 7 7 8 7 6 4 3 4 4 5 4 4 4 4 6 7 8 7 6 5 6 8 9 8 8 8 7 6 6 6 6 8 13 19 18 14 11 10 10 10 8 8 8 10 11 10 8 6 6 8 9 9 9 10 9 9 9 8 8 8 8 8 9 nan
nan 8 9 9 9 9 9 10 11 11 11 10 9 8 8 7 7 7 7 8 8 6 5 6 6 4 4 4 3 5 7 8 8 8 8 8 7 6 7 9 10 9 9 7 6 6 6 6 9 15 18 17 14 11 9 9 9 8 7 7 10 12 10 8 5 3 4 5 6 7 9 9 9 8 9 8 8 9 10 10 nan
nan 9 10 10 10 9 10 11 12 12 11 11 10 9 9 7 6 7 6 6 6 7 7 7 7 6 5 6 5 6 8 9 9 9 9 10 9 8 8 9 11 11 10 9 8 7 6 6 8 14 17 15 13 10 9 9 8 9 10 9 9 10 9 8 6 4 4 5 6 8 10 11 11 11 10 9 8 10 11 11 nan
nan 10 10 11 10 9 10 11 12 12 11 11 10 10 10 9 7 6 5 5 5 6 7 8 7 6 6 7 8 8 9 9 10 11 10 11 11 11 10 11 12 12 11 10 9 7 6 6 8 16 20 15 12 10 10 10 10 10 11 11 9 8 8 9 9 9 8 8 8 9 12 14 13 13 12 11 10 10 10 11 nan
nan 11 11 11 10 10 10 11 11 12 12 11 10 10 11 10 9 6 5 4 5 5 7 8 7 6 6 7 9 9 10 10 10 10 11 12 12 13 12 12 13 12 11 10 9 8 7 7 9 19 21 16 12 10 11 10 9 9 9 9 6 4 6 9 12 12 10 9 9 8 9 11 12 12 11 11 11 10 10 9 nan
nan 10 11 11 9 10 11 11 11 11 12 12 11 12 11 10 8 6 5 5 5 5 5 6 7 7 6 8 9 9 9 8 8 9 10 11 12 12 12 12 12 11 10 10 9 8 8 7 9 16 18 16 14 12 11 9 8 7 6 5 1 0 3 7 9 9 8 7 7 6 6 7 8 9 10 11 11 10 10 10 nan
nan 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 9 7 5 5 5 5 4 6 8 7 7 7 8 8 8 7 7 8 9 10 11 11 11 10 10 9 8 8 8 7 7 7 10 14 16 16 13 12 10 9 7 6 6 5 1 -2 2 5 7 7 7 7 8 8 8 8 8 8 9 11 11 10 10 9 nan
nan 10 10 10 10 10 10 11 12 13 12 11 11 11 11 11 10 7 6 7 7 5 4 6 8 9 8 7 8 8 8 8 7 8 8 10 10 11 10 9 9 8 7 6 7 6 7 8 12 15 16 13 11 10 9 8 8 8 9 7 1 -1 2 5 7 8 9 10 11 11 11 11 11 11 11 11 11 10 9 9 nan
nan 10 10 9 9 10 11 12 12 12 12 11 11 11 11 11 10 9 8 8 8 5 4 6 8 9 9 9 9 9 9 8 9 9 8 9 9 10 9 8 8 7 6 6 6 6 6 7 14 17 15 12 9 9 9 8 9 10 11 8 3 2 4 8 9 9 9 11 12 14 14 14 13 13 11 10 10 9 9 9 nan
nan 9 9 9 9 10 11 11 11 12 11 11 11 11 11 10 10 11 11 10 9 7 5 7 8 8 8 9 10 10 9 9 10 10 10 8 8 9 8 8 8 7 6 6 7 7 6 8 16 18 14 10 8 8 9 9 10 12 13 10 6 4 7 12 11 9 10 10 12 15 15 14 14 12 10 10 10 10 11 10 nan
nan 9 8 8 9 10 10 11 11 11 11 11 12 12 12 11 10 11 12 12 12 9 8 9 10 9 8 8 9 10 10 9 8 10 10 10 9 8 8 8 8 8 8 7 8 8 8 11 17 16 13 10 9 9 10 11 12 13 13 10 7 6 10 12 12 11 12 12 13 14 14 13 12 10 7 7 8 9 11 11 nan
nan 8 8 8 9 10 10 11 11 11 11 11 11 12 12 11 10 10 11 12 12 11 11 13 13 11 11 10 9 9 9 8 7 7 9 10 11 10 9 9 8 9 9 9 9 9 9 13 14 13 12 11 10 10 11 12 13 14 12 8 5 8 11 12 11 12 13 14 14 12 12 10 9 8 6 5 6 8 9 10 nan
nan 8 8 8 8 9 10 10 10 11 11 10 11 11 12 11 10 10 10 11 11 10 12 14 13 12 11 11 11 10 9 8 8 8 8 9 11 12 11 10 9 10 10 10 10 9 11 12 12 12 13 12 10 11 12 13 14 14 12 8 6 6 9 10 10 12 13 13 13 11 9 8 7 7 7 7 8 9 9 11 nan
nan 8 8 9 8 8 10 10 11 12 11 10 9 10 11 12 11 10 10 10 10 11 12 14 13 11 11 11 11 11 10 10 9 9 9 9 9 11 12 12 10 10 10 10 10 10 11 12 13 14 15 12 10 11 11 13 14 13 10 8 6 5 7 9 10 11 11 11 11 10 9 9 8 8 8 9 10 11 11 13 nan
nan 9 9 9 8 9 10 10 10 11 10 9 9 9 10 12 12 11 10 10 10 10 12 14 13 12 11 11 11 11 10 11 9 10 10 9 9 11 12 13 13 11 10 10 10 11 10 12 15 17 15 12 10 10 11 11 11 11 8 6 5 5 7 10 11 11 10 9 9 9 10 11 12 11 10 11 13 13 10 8 nan
nan 9 9 8 9 9 9 10 11 10 9 9 9 10 11 13 12 11 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 12 13 13 12 11 10 11 11 10 13 15 17 15 12 10 8 9 9 9 8 5 3 5 7 9 11 12 12 11 9 8 9 10 12 14 13 12 11 13 13 9 2 nan
nan 9 8 8 9 9 9 10 10 10 9 9 9 10 11 12 12 11 11 11 11 11 10 10 10 11 12 13 13 12 12 12 12 13 13 12 11 12 12 12 13 13 12 11 12 11 10 13 15 16 16 12 10 8 8 9 10 7 3 -0 1 7 10 11 12 12 11 9 8 8 10 11 13 13 12 10 10 10 7 3 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
96 94 95 100 102 104 109 114 117 118 120 120 118 117 119 126 121 109 98 94 98 100 99 93 84 75 64 49 33 23 34 36 27 13 2 0 0 2 1 0 0 0 0 4 9 12 14 12 8 4 3 3 3 4 2 1 1 1 0 0 0 0 1 6 13 19 17 10 2 0 0 0 0 0 0 1 18 36 50 62 74
93 95 94 96 99 103 108 113 113 108 110 112 111 109 112 125 124 116 100 92 96 98 98 96 88 80 71 60 43 26 18 12 7 3 0 0 1 1 0 0 0 0 0 2 7 12 16 17 13 6 2 1 1 2 2 2 3 3 2 1 0 0 0 1 6 13 14 8 2 0 0 0 0 0 0 4 20 34 45 54 64
81 86 93 94 93 97 106 114 115 109 110 111 107 105 112 126 123 115 101 91 92 97 98 97 91 84 76 64 46 25 10 3 0 0 0 0 1 1 0 0 0 0 0 2 4 7 11 14 14 8 4 2 1 1 1 3 5 5 5 4 2 0 0 0 0 3 6 5 2 0 0 0 0 0 0 6 22 37 46 52 61
72 78 91 92 88 88 94 102 104 103 104 104 101 103 115 124 116 109 101 95 93 96 97 96 92 84 73 58 38 18 6 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 8 10 8 5 3 2 1 0 2 4 5 5 5 3 1 0 0 0 0 1 1 0 0 0 0 0 0 0 8 23 37 47 52 57
68 72 76 77 77 76 79 85 91 95 98 97 97 101 112 117 107 100 98 97 96 96 96 94 89 78 62 44 24 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 0 0 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 29 41 46 49 52
60 63 64 64 63 64 68 73 82 90 94 94 93 96 102 103 97 95 96 96 94 94 90 86 76 63 49 32 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 22 32 39 45 50
48 51 55 55 54 56 58 63 73 85 90 90 89 89 90 90 88 91 92 90 88 88 76 69 60 50 39 24 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 3 11 22 34 44 48
35 39 45 48 50 50 50 52 66 79 85 85 84 85 84 82 81 82 82 80 79 77 63 56 50 42 32 19 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 2 1 1 1 1 0 0 0 0 0 2 9 24 32 38
29 31 37 42 45 46 47 49 64 75 81 83 84 85 83 80 77 76 74 72 70 67 56 47 39 30 21 11 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 6 5 5 6 5 2 2 1 0 0 2 6 14 20 23
33 32 34 37 40 43 46 51 64 72 80 84 87 87 85 81 77 72 67 63 61 57 48 37 26 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 11 10 10 10 10 4 4 2 0 0 2 3 5 8 8
35 34 35 36 37 40 45 51 62 71 80 86 89 88 85 82 77 71 64 57 54 48 38 26 16 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 19 19 18 16 11 7 4 2 1 1 1 1 0 0
31 32 32 33 34 36 41 50 60 71 80 87 89 84 81 79 73 68 62 55 47 34 24 15 10 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 20 26 27 25 23 20 15 9 6 4 2 1 0 0 0
25 26 27 29 29 30 37 49 59 71 81 88 89 80 78 76 69 63 58 43 26 17 12 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 25 26 23 22 22 17 10 6 4 3 2 1 0 0
22 22 23 25 27 30 37 50 59 72 84 91 90 83 80 74 66 56 42 24 13 9 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 17 19 14 12 12 12 10 8 6 5 3 1 0 0
25 22 23 26 30 36 42 51 62 75 87 94 93 88 83 73 60 42 22 8 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 11 8 7 7 8 8 8 7 6 4 2 1 0
28 28 30 32 37 43 48 55 68 80 89 95 96 93 82 64 43 23 8 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 3 4 5 7 8 9 7 6 4 1 0
34 37 38 41 47 52 55 58 70 81 88 93 95 90 68 42 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5 6 6 5 4 1 0
40 41 42 49 57 61 59 57 65 74 80 84 87 77 46 18 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 2 2 1 0 0
43 42 45 53 61 62 57 52 56 61 67 71 71 51 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
46 44 47 51 53 51 44 40 40 43 50 53 45 21 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
49 48 48 44 39 33 29 26 26 29 35 35 21 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
50 51 49 41 32 25 20 18 19 23 24 19 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
50 55 54 46 34 24 19 17 18 17 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
51 59 61 54 41 29 21 16 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
53 62 63 56 42 27 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
58 63 56 42 26 13 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
64 55 37 18 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7
58 36 17 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 15
41 17 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 7 6 4 2 0 0 0 0 0 0 0 0 0 1 4 7 10 13 21
22 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 9 9 8 6 3 1 0 0 0 0 0 0 2 5 10 14 16 18 25
7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 10 11 12 13 12 10 6 1 0 0 0 0 1 5 12 19 22 22 24 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 11 13 15 18 19 15 7 2 1 1 2 6 11 17 21 23 25 30 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 10 14 17 21 25 23 16 10 7 6 10 16 20 20 18 17 22 32 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 14 17 21 26 30 29 27 23 21 22 27 28 25 19 17 26 38 49
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 15 18 23 32 40 46 48 48 46 42 37 30 23 25 35 46 54
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 16 21 29 36 43 51 60 62 58 50 39 33 37 44 50 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 17 22 25 28 33 44 53 56 53 46 43 46 48 48 45
0 0 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 14 15 17 20 29 39 46 48 46 47 49 47 41 36
0 1 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 14 10 4 1 0 0 0 0 0 0 0 0 0 1 3 7 9 10 12 13 14 17 24 34 42 47 47 47 47 44 38 35
0 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 22 29 20 8 0 0 0 0 0 0 0 0 0 0 1 4 9 11 13 14 15 17 21 29 38 48 53 49 45 42 41 41 39
0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 31 38 26 8 0 0 0 0 0 0 0 0 0 0 2 5 10 14 16 19 22 26 32 42 53 62 61 50 40 36 38 41 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 38 42 26 7 0 0 0 0 0 0 0 0 0 1 3 8 13 17 21 26 33 39 46 57 67 72 61 45 34 29 31 31 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 16 36 36 23 7 0 0 0 0 0 0 0 0 0 1 6 15 20 24 30 36 45 52 60 66 71 70 55 37 24 18 18 16 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 19 28 25 15 4 0 0 0 0 0 0 0 0 0 3 12 24 32 39 46 53 61 66 68 66 62 55 41 26 14 8 8 10 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 5 11 20 21 14 5 1 0 0 0 0 0 0 0 0 2 9 21 33 46 58 68 72 79 77 71 61 51 41 29 18 12 8 9 14 24
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 4 9 16 19 16 8 0 0 0 0 0 0 0 0 0 0 2 9 21 35 54 71 83 84 86 82 72 61 53 44 36 30 26 24 25 29 35
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 5 12 20 17 12 6 1 0 0 0 0 0 0 0 0 0 2 8 17 33 53 71 79 78 77 73 67 62 61 59 55 53 51 45 43 38 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 4 11 18 13 12 11 4 0 0 0 0 0 0 0 0 1 4 15 24 37 52 62 63 62 61 59 58 60 63 65 64 62 58 48 42 32 18
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